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The properties of a system of n = 3 coupled oscillators with linear terms inthe velocities (magnetic terms) depending in two parameters are studied. Weproved the existence of a bi-Hamiltonian structure arising from anon-symplectic symmetry, as well the existence of master symmetries andadditional integrals of motion (weak superintegrability) for certain particularvalues of the parameters.

A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion